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Finding the Fourth Proportional to 13,783.42, 19,021.23 and 7,495.78

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Solution

The fourth proportional to 13,783.42, 19,021.23 and 7,495.78 is: 10,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.42 : 19,021.23 = 7,495.78 : x
  2. Step 2: Convert to fraction form
    13,783.42/19,021.23 = 7,495.78/x
  3. Step 3: Cross multiply
    13,783.42x = 19,021.23 × 7,495.78
  4. Step 4: Simplify right side
    13,783.42x = 142,578,955.41
  5. Step 5: Solve for x
    x = 142,578,955.41/13,783.42
  6. Step 6: Final answer
    x = 10,344.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.